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Finding the Fourth Proportional to 4,155.84, 6,233.82 and 1,035.84

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Solution

The fourth proportional to 4,155.84, 6,233.82 and 1,035.84 is: 1,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.84 : 6,233.82 = 1,035.84 : x
  2. Step 2: Convert to fraction form
    4,155.84/6,233.82 = 1,035.84/x
  3. Step 3: Cross multiply
    4,155.84x = 6,233.82 × 1,035.84
  4. Step 4: Simplify right side
    4,155.84x = 6,457,240.11
  5. Step 5: Solve for x
    x = 6,457,240.11/4,155.84
  6. Step 6: Final answer
    x = 1,553.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.